112114333032 has 64 divisors (see below), whose sum is σ = 302220072000. Its totient is φ = 34453999104.

The previous prime is 112114332989. The next prime is 112114333057. The reversal of 112114333032 is 230333411211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112114332993 and 112114333011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30319 + ... + 474497.

It is an arithmetic number, because the mean of its divisors is an integer number (4722188625).

Almost surely, 2^112114333032 is an apocalyptic number.

112114333032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112114333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151110036000).

112114333032 is an abundant number, since it is smaller than the sum of its proper divisors (190105738968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112114333032 is a wasteful number, since it uses less digits than its factorization.

112114333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445010 (or 445006 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 112114333032 its reverse (230333411211), we get a palindrome (342447744243).

The spelling of 112114333032 in words is "one hundred twelve billion, one hundred fourteen million, three hundred thirty-three thousand, thirty-two".